Question
Evaluate the expression for the given variable value. \[ b+\frac{5}{12} ; b=\frac{5}{6} \] \( \square \) (Type a whole number, fraction, or mixed number.)
Ask by Ramos Fleming. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of the expression is \( \frac{5}{4} \).
Solution
To evaluate the expression b + (5/12) when b = 5/6:
1. Substitute b with 5/6:
5/6 + 5/12
2. Find a common denominator. The common denominator of 6 and 12 is 12:
5/6 = 10/12
3. Add the fractions:
10/12 + 5/12 = 15/12
4. Simplify the fraction:
15/12 = 5/4
Thus, the value of the expression is 5/4.
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Simplify this solution The Deep Dive
To evaluate the expression \( b + \frac{5}{12} \) with \( b = \frac{5}{6} \), first, we need a common denominator for the fractions. The least common denominator of 6 and 12 is 12. Rewrite \( b \): \[ b = \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \] Now, substitute \( b \) into the expression: \[ \frac{10}{12} + \frac{5}{12} = \frac{10 + 5}{12} = \frac{15}{12} \] Now simplify \( \frac{15}{12} \): \[ \frac{15}{12} = \frac{5}{4} = 1\frac{1}{4} \] So, the evaluated expression is \( 1\frac{1}{4} \) or \( \frac{5}{4} \).
